Galois group search results

Results (displaying both matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T5603	$(S_3\times C_6^2):S_4$	$5184$	$1$	✓	$-1$	$102$	$C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$, $C_3^2:S_3^2$	36T5603, 36T5604 x 2
36T5604	$(S_3\times C_6^2):S_4$	$5184$	$1$	✓	$-1$	$102$	$C_2$, $S_3$, $D_{6}$, $C_2^3:S_4$, $C_3^2:S_3^2$	36T5603 x 2, 36T5604

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Results are complete for degrees $\leq 23$.